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Finding the Third Proportional to 154,220 and 224,766

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Solution

The third proportional to 154,220 and 224,766 is: 327,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,220 : 224,766 = 224,766 : x
  2. Step 2: Convert to fraction form
    154,220/224,766 = 224,766/x
  3. Step 3: Cross multiply
    154,220x = 224,766 × 224,766
  4. Step 4: Simplify right side
    154,220x = 50,519,754,756
  5. Step 5: Solve for x
    x = 50,519,754,756/154,220
  6. Step 6: Final answer
    x = 327,582.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.